Results 11 to 20 of about 7,095 (206)
A Version of Favard's Inequality for the Sugeno Integral [PDF]
Sahand Communications in Mathematical Analysis, 2020 In this paper, we present a version of Favard's inequality for special case and then generalize it for the Sugeno integral in fuzzy measure space $(X,Sigma,mu)$, where $mu$ is the Lebesgue measure. We consider two cases, when our function is concave and
Bayaz Daraby +2 more
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Bellman Type Inequality for Sugeno Integrals [PDF]
Sahand Communications in Mathematical AnalysisIn this paper, we prove Bellman type inequality for Sugeno integral and generalize it for pseudo-integrals. Furthermore, we generalize the Bellman's inequality in abstract spaces.
Bayaz Daraby, Ramin Mosalman
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Axioms, 2023 The overlap function is an important class of aggregation function that is closely related to the continuous triangular norm. It has important applications in information fusion, image processing, information classification, intelligent decision-making ...
Xiaoyan Mao, Chaolu Temuer, Huijie Zhou
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Commuting Double Sugeno Integrals [PDF]
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2019 In decision problems involving two dimensions (like several agents in uncertainty) the properties of expected utility ensure that the result of a two-stepped procedure evaluation does not depend on the order with which the aggregations of local evaluations are performed (e.g., agents first, uncertainty next, or the converse).
Dubois, Didier +2 more
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Remarks on Sugeno Integrals on Bounded Lattices
Mathematics, 2022 A discrete Sugeno integral on a bounded distributive lattice L is defined as an idempotent weighted lattice polynomial. Another possibility for axiomatization of Sugeno integrals is to consider compatible aggregation functions, uniquely extending the L ...
Radomír Halaš +2 more
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Mathematics, 2023 This paper presents a new approach to integral sliding mode control for discrete nonlinear systems with time delay. The approach is based on an event-triggered scheme and is applied to Takagi–Sugeno fuzzy models. In the first step, a new integral sliding
Yassine Benyazid +2 more
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Sugeno Integral for Hermite–Hadamard Inequality and Quasi-Arithmetic Means
Annales Mathematicae Silesianae, 2023 In this paper, we present the Sugeno integral of Hermite–Hadamard inequality for the case of quasi-arithmetically convex (q-ac) functions which acts as a generator for all quasi-arithmetic means in the frame work of Sugeno integral.
Nadhomi Timothy
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Study on Some Integral Inequalities for Pseudo-Integrals [PDF]
Sahand Communications in Mathematical Analysis, 2022 In this paper, we express and prove Stolarsky, Feng Qi and Markov type inequalities for two classes of pseudo-integrals. One of them concerning the pseudo-integrals based on a function reduces on the g-integral where pseudo-operations are defined by a ...
Bayaz Daraby
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Generalized Sugeno Integrals [PDF]
, 2016 Sugeno integrals are aggregation functions defined on a qualitative scale where only minimum, maximum and order-reversing maps are allowed. Recently, variants of Sugeno integrals based on Godel implication and its contraposition were defined and axiomatized in the setting of bounded chain with an involutive negation.
Dubois, Didier +3 more
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New view of fuzzy aggregations. Part III: extensions of the FPOWA operator in the problem of political management [PDF]
Journal of Fuzzy Extension and Applications, 2021 The Ordered Weighted Averaging (OWA) operator was introduced by Yager [34] to provide a method for aggregating inputs that lie between the max and min operators.
Gia Sirbiladze
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